Atkin-Lehner |
2+ 3+ 5- 17+ |
Signs for the Atkin-Lehner involutions |
Class |
10200k |
Isogeny class |
Conductor |
10200 |
Conductor |
∏ cp |
4 |
Product of Tamagawa factors cp |
deg |
34560 |
Modular degree for the optimal curve |
Δ |
-3021955593750000 = -1 · 24 · 39 · 59 · 173 |
Discriminant |
Eigenvalues |
2+ 3+ 5- -1 -1 4 17+ -1 |
Hecke eigenvalues for primes up to 20 |
Equation |
[0,-1,0,-8208,2663037] |
[a1,a2,a3,a4,a6] |
j |
-1957215488/96702579 |
j-invariant |
L |
1.4934988712964 |
L(r)(E,1)/r! |
Ω |
0.3733747178241 |
Real period |
R |
1 |
Regulator |
r |
0 |
Rank of the group of rational points |
S |
1 |
(Analytic) order of Ш |
t |
1 |
Number of elements in the torsion subgroup |
Twists |
20400bm1 81600ei1 30600cu1 10200bq1 |
Quadratic twists by: -4 8 -3 5 |